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Finding the Fourth Proportional to 6,614.73, 9,921.02 and 1,933.63

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Solution

The fourth proportional to 6,614.73, 9,921.02 and 1,933.63 is: 2,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.73 : 9,921.02 = 1,933.63 : x
  2. Step 2: Convert to fraction form
    6,614.73/9,921.02 = 1,933.63/x
  3. Step 3: Cross multiply
    6,614.73x = 9,921.02 × 1,933.63
  4. Step 4: Simplify right side
    6,614.73x = 19,183,547.43
  5. Step 5: Solve for x
    x = 19,183,547.43/6,614.73
  6. Step 6: Final answer
    x = 2,900.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.